Then, Yablonskii-Vorob'ev polynomials \(Q_{N}(z)\)  are given by the \(N \times N\)  determinant [1]}
\(&& Q_{N}(z) = c_{N} \left| \begin{array}{cccc}p_{1}(z) & p_{0}(z) & \cdots & p_{2-N}(z) \\p_{3}(z) & p_{2}(z) & \cdots & p_{4-N}(z) \\\vdots & \vdots & \vdots & \vdots \\p_{2N-1}(z) & p_{2N-2}(z) & \cdots & p_{N}(z)\end{array}\right|,\) 
